Betweenness algebras

Ivo Duentsch; Rafal Gruszczynski; Paula Menchon

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arXiv · 2309.00159

Betweenness algebras

Ivo Duentsch·Rafal Gruszczynski·Paula Menchon

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Abstract

We introduce and study a class of betweenness algebras-Boolean algebras with binary operators, closely related to ternary frames with a betweenness relation. From various axioms for betweenness, we chose those that are most common, which makes our work applicable to a wide range of betweenness structures studied in the literature. On the algebraic side, we work with two operators of possibility and of suffciency.

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Ivo Duentsch, Rafal Gruszczynski, Paula Menchon. 2023-08-31. Betweenness algebras. https://arxiv.org/abs/2309.00159

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